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olga nikolaevna [1]
4 years ago
7

Please help 30 points

Mathematics
1 answer:
swat324 years ago
6 0

Answer:

w(t)=0.8t+17.9

Step-by-step explanation:

By reading the question thoroughly you can determine that w is the y axis/y values and t is the x axis/x values.

<em>First we need to find the slope, so we take two sets of  coordinates so we can determine the slope. for this we use the following formula:</em>

<em />\frac{y1-y2}{x1-x2}<em />

So now i am going to use the coordinates (1,18.7) and (2,19.5)

<em>Now i plug in the numbers:</em>

<em />\frac{(19.5)-(18.7)}{(2)-(1)}<em />

<em>It is very important that the coordinates do not get mixed up at all and stay with the other value they belong with</em>

<u>Simplify:</u>

<u />\frac{0.8}{1} or 0.8/1

Since any number divided by one is itself, we have the slope.

<em>To determine the y intercept, we look at the graph, the x or t value is at 1, so all we have to do is subtract 0.8 from the y value where x=1:</em>

<u>Subtract:</u>

18.7-0.8=17.9

1-1=0

(0,17.9)

<u>Now that we have all of our components, we put the equation together like  a puzzle</u>:

w(t)=0.8t+17.9

I hope this helps u pls give a brainliest and a thx ;)

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your welcome :)

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Use The four step process to find the slope of the tangent line to the graph of the given function at any point. ( simplify your
hodyreva [135]

Answer:

The answer to your question is: 16x + 3

Step-by-step explanation:

Step 1 :      f(x) = 8x² + 3x

                f(x +h) =  8(x + h)² + 3( x + h)

                f(x + h) = 8( x² + 2xh + h²) + 3( x + h)

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Step 2 f(x+h) - f(x) =  8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)

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Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h

                                    = 16x + 8h + 3

Step 4 lim  f(x + h) - f(x)/ h = lim 16x + 8h + 3  = lim 16x + 8(0) + 3 = 16x + 3

        h ⇒0                           h ⇒0                     h ⇒0

3 0
3 years ago
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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

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Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair (0,2), although people usually write the number.

I hope this was helpful. Good luck!

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